diff --git a/Doc/library/doctest.rst b/Doc/library/doctest.rst
index b6d17565c53..b07663c205f 100644
--- a/Doc/library/doctest.rst
+++ b/Doc/library/doctest.rst
@@ -1060,6 +1060,16 @@ from text files and modules with doctests:
    .. versionchanged:: 2.5
       The parameter *encoding* was added.
 
+   .. note::
+      Unlike :func:`testmod` and :class:`DocTestFinder`, this function raises
+      a :exc:`ValueError` if *module* contains no docstrings.  You can prevent
+      this error by passing a :class:`DocTestFinder` instance as the
+      *test_finder* argument with its *exclude_empty* keyword argument set
+      to ``False``::
+
+         >>> finder = doctest.DocTestFinder(exclude_empty=False)
+         >>> suite = doctest.DocTestSuite(test_finder=finder)
+
 
 .. function:: DocTestSuite([module][, globs][, extraglobs][, test_finder][, setUp][, tearDown][, checker])
 
diff --git a/Lib/doctest.py b/Lib/doctest.py
index 095f5605020..90bcca1fdbe 100644
--- a/Lib/doctest.py
+++ b/Lib/doctest.py
@@ -2381,7 +2381,12 @@ def DocTestSuite(module=None, globs=None, extraglobs=None, test_finder=None,
     elif not tests:
         # Why do we want to do this? Because it reveals a bug that might
         # otherwise be hidden.
-        raise ValueError(module, "has no tests")
+        # It is probably a bug that this exception is not also raised if the
+        # number of doctest examples in tests is zero (i.e. if no doctest
+        # examples were found).  However, we should probably not be raising
+        # an exception at all here, though it is too late to make this change
+        # for a maintenance release.  See also issue #14649.
+        raise ValueError(module, "has no docstrings")
 
     tests.sort()
     suite = unittest.TestSuite()
diff --git a/Lib/test/test_doctest.py b/Lib/test/test_doctest.py
index 9b500fd1a53..8c87beeebca 100644
--- a/Lib/test/test_doctest.py
+++ b/Lib/test/test_doctest.py
@@ -2006,6 +2006,31 @@ def test_DocTestSuite():
          >>> suite.run(unittest.TestResult())
          <unittest.result.TestResult run=9 errors=0 failures=4>
 
+       The module need not contain any doctest examples:
+
+         >>> suite = doctest.DocTestSuite('test.sample_doctest_no_doctests')
+         >>> suite.run(unittest.TestResult())
+         <unittest.result.TestResult run=0 errors=0 failures=0>
+
+       However, if DocTestSuite finds no docstrings, it raises an error:
+
+         >>> try:
+         ...     doctest.DocTestSuite('test.sample_doctest_no_docstrings')
+         ... except ValueError as e:
+         ...     error = e
+
+         >>> print(error.args[1])
+         has no docstrings
+
+       You can prevent this error by passing a DocTestFinder instance with
+       the `exclude_empty` keyword argument set to False:
+
+         >>> finder = doctest.DocTestFinder(exclude_empty=False)
+         >>> suite = doctest.DocTestSuite('test.sample_doctest_no_docstrings',
+         ...                              test_finder=finder)
+         >>> suite.run(unittest.TestResult())
+         <unittest.result.TestResult run=0 errors=0 failures=0>
+
        We can use the current module:
 
          >>> suite = test.sample_doctest.test_suite()
diff --git a/Lib/test/test_zipimport_support.py b/Lib/test/test_zipimport_support.py
index 4f41518d704..199cf20e8d4 100644
--- a/Lib/test/test_zipimport_support.py
+++ b/Lib/test/test_zipimport_support.py
@@ -29,7 +29,8 @@ verbose = test.test_support.verbose
 #  test_cmd_line_script (covers the zipimport support in runpy)
 
 # Retrieve some helpers from other test cases
-from test import test_doctest, sample_doctest
+from test import (test_doctest, sample_doctest, sample_doctest_no_doctests,
+                  sample_doctest_no_docstrings)
 from test.test_importhooks import ImportHooksBaseTestCase
 
 
@@ -99,16 +100,26 @@ class ZipSupportTests(ImportHooksBaseTestCase):
                                     "test_zipped_doctest")
         test_src = test_src.replace("test.sample_doctest",
                                     "sample_zipped_doctest")
-        sample_src = inspect.getsource(sample_doctest)
-        sample_src = sample_src.replace("test.test_doctest",
-                                        "test_zipped_doctest")
+        # The sample doctest files rewritten to include in the zipped version.
+        sample_sources = {}
+        for mod in [sample_doctest, sample_doctest_no_doctests,
+                    sample_doctest_no_docstrings]:
+            src = inspect.getsource(mod)
+            src = src.replace("test.test_doctest", "test_zipped_doctest")
+            # Rewrite the module name so that, for example,
+            # "test.sample_doctest" becomes "sample_zipped_doctest".
+            mod_name = mod.__name__.split(".")[-1]
+            mod_name = mod_name.replace("sample_", "sample_zipped_")
+            sample_sources[mod_name] = src
+
         with temp_dir() as d:
             script_name = make_script(d, 'test_zipped_doctest',
                                             test_src)
             zip_name, run_name = make_zip_script(d, 'test_zip',
                                                 script_name)
             z = zipfile.ZipFile(zip_name, 'a')
-            z.writestr("sample_zipped_doctest.py", sample_src)
+            for mod_name, src in sample_sources.items():
+                z.writestr(mod_name + ".py", src)
             z.close()
             if verbose:
                 zip_file = zipfile.ZipFile(zip_name, 'r')